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  • Articles: DFG German National Licenses  (2)
  • 1985-1989  (2)
Source
  • Articles: DFG German National Licenses  (2)
Material
Years
Year
Keywords
  • 1
    Electronic Resource
    Electronic Resource
    Existence of solutions of games with some non-convexity (1986)
    Springer
    International journal of game theory 15 (1986), S. 155-162 
    Details
    ISSN: 1432-1270
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract Some inf-sup and saddle point theorems are proved for functionsf: X×Y → IR (=reals). The general theorems weaken some of the convexity conditions that are usually imposed onX, Y, andf. Some special cases are considered — these results impose some convexity in the hypotheses but still treat situations not covered by classical theorems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01769255
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Continuous approximate solutions in parametric optimization (1989)
    Springer
    Acta applicandae mathematicae 15 (1989), S. 275-300 
    Details
    ISSN: 1572-9036
    Keywords: 90C31 ; 90D10 ; 54C60 ; Parametric optimization ; Nash equilibrium ; continuous solutions ; Serre multifunctions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The question of the existence of approximate solutions in parametric optimization is considered. Most results show that (under hypotheses) if a certain optimization problem has an approximate solution x 0 for a value p 0 of a parameter, then an approximate solution x=b(p) can be found for p in P, with b continuous, b(p 0)=x0, and any two such bs are homotopic. Some topological methods (use of fibrations) are used to weaken the usual ‘convex’ hypotheses of such results. An equisemicontinuity condition (relative to a constraint) is introduced to allow some noncompactness. The results are applied to get approximate Nash equilibrium results for games with some nonconvexity in the strategy sets.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00047533
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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